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Finding the Fourth Proportional to 407.96, 562.54 and 289.88

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Solution

The fourth proportional to 407.96, 562.54 and 289.88 is: 399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.96 : 562.54 = 289.88 : x
  2. Step 2: Convert to fraction form
    407.96/562.54 = 289.88/x
  3. Step 3: Cross multiply
    407.96x = 562.54 × 289.88
  4. Step 4: Simplify right side
    407.96x = 163,069.10
  5. Step 5: Solve for x
    x = 163,069.10/407.96
  6. Step 6: Final answer
    x = 399.72

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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.