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Finding the Fourth Proportional to 407.29, 561.99 and 230.23

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Solution

The fourth proportional to 407.29, 561.99 and 230.23 is: 317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.29 : 561.99 = 230.23 : x
  2. Step 2: Convert to fraction form
    407.29/561.99 = 230.23/x
  3. Step 3: Cross multiply
    407.29x = 561.99 × 230.23
  4. Step 4: Simplify right side
    407.29x = 129,386.96
  5. Step 5: Solve for x
    x = 129,386.96/407.29
  6. Step 6: Final answer
    x = 317.68

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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.