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Finding the Fourth Proportional to 407.44, 562.20 and 230.35

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Solution

The fourth proportional to 407.44, 562.20 and 230.35 is: 317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.44 : 562.20 = 230.35 : x
  2. Step 2: Convert to fraction form
    407.44/562.20 = 230.35/x
  3. Step 3: Cross multiply
    407.44x = 562.20 × 230.35
  4. Step 4: Simplify right side
    407.44x = 129,502.77
  5. Step 5: Solve for x
    x = 129,502.77/407.44
  6. Step 6: Final answer
    x = 317.85

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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.