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Finding the Fourth Proportional to 511.65, 706.08 and 278.76

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Solution

The fourth proportional to 511.65, 706.08 and 278.76 is: 384.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.65 : 706.08 = 278.76 : x
  2. Step 2: Convert to fraction form
    511.65/706.08 = 278.76/x
  3. Step 3: Cross multiply
    511.65x = 706.08 × 278.76
  4. Step 4: Simplify right side
    511.65x = 196,826.86
  5. Step 5: Solve for x
    x = 196,826.86/511.65
  6. Step 6: Final answer
    x = 384.69

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Find fourth proportional to 255.83, 353.04 and 139.38
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.