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Finding the Fourth Proportional to 387.31, 534.51 and 230.07

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Solution

The fourth proportional to 387.31, 534.51 and 230.07 is: 317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.31 : 534.51 = 230.07 : x
  2. Step 2: Convert to fraction form
    387.31/534.51 = 230.07/x
  3. Step 3: Cross multiply
    387.31x = 534.51 × 230.07
  4. Step 4: Simplify right side
    387.31x = 122,974.72
  5. Step 5: Solve for x
    x = 122,974.72/387.31
  6. Step 6: Final answer
    x = 317.51

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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.