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Finding the Fourth Proportional to 417.90, 576.98 and 278.29

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Solution

The fourth proportional to 417.90, 576.98 and 278.29 is: 384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.90 : 576.98 = 278.29 : x
  2. Step 2: Convert to fraction form
    417.90/576.98 = 278.29/x
  3. Step 3: Cross multiply
    417.90x = 576.98 × 278.29
  4. Step 4: Simplify right side
    417.90x = 160,567.76
  5. Step 5: Solve for x
    x = 160,567.76/417.90
  6. Step 6: Final answer
    x = 384.23

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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.