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Finding the Fourth Proportional to 407.86, 562.61 and 260.24

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Solution

The fourth proportional to 407.86, 562.61 and 260.24 is: 358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.86 : 562.61 = 260.24 : x
  2. Step 2: Convert to fraction form
    407.86/562.61 = 260.24/x
  3. Step 3: Cross multiply
    407.86x = 562.61 × 260.24
  4. Step 4: Simplify right side
    407.86x = 146,411.46
  5. Step 5: Solve for x
    x = 146,411.46/407.86
  6. Step 6: Final answer
    x = 358.98

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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.