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Finding the Fourth Proportional to 58, 86.31 and 56.38

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Solution

The fourth proportional to 58, 86.31 and 56.38 is: 83.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58 : 86.31 = 56.38 : x
  2. Step 2: Convert to fraction form
    58/86.31 = 56.38/x
  3. Step 3: Cross multiply
    58x = 86.31 × 56.38
  4. Step 4: Simplify right side
    58x = 4,866.16
  5. Step 5: Solve for x
    x = 4,866.16/58
  6. Step 6: Final answer
    x = 83.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.