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Finding the Fourth Proportional to 370.66, 511.90 and 288.74

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Solution

The fourth proportional to 370.66, 511.90 and 288.74 is: 398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.66 : 511.90 = 288.74 : x
  2. Step 2: Convert to fraction form
    370.66/511.90 = 288.74/x
  3. Step 3: Cross multiply
    370.66x = 511.90 × 288.74
  4. Step 4: Simplify right side
    370.66x = 147,806.01
  5. Step 5: Solve for x
    x = 147,806.01/370.66
  6. Step 6: Final answer
    x = 398.76

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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.