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Finding the Fourth Proportional to 407.23, 562.01 and 230.22

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Solution

The fourth proportional to 407.23, 562.01 and 230.22 is: 317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.23 : 562.01 = 230.22 : x
  2. Step 2: Convert to fraction form
    407.23/562.01 = 230.22/x
  3. Step 3: Cross multiply
    407.23x = 562.01 × 230.22
  4. Step 4: Simplify right side
    407.23x = 129,384.79
  5. Step 5: Solve for x
    x = 129,384.79/407.23
  6. Step 6: Final answer
    x = 317.72

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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.