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Finding the Fourth Proportional to 407.36, 562.25 and 257.90

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Solution

The fourth proportional to 407.36, 562.25 and 257.90 is: 355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.36 : 562.25 = 257.90 : x
  2. Step 2: Convert to fraction form
    407.36/562.25 = 257.90/x
  3. Step 3: Cross multiply
    407.36x = 562.25 × 257.90
  4. Step 4: Simplify right side
    407.36x = 145,000.17
  5. Step 5: Solve for x
    x = 145,000.17/407.36
  6. Step 6: Final answer
    x = 355.95

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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.