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Finding the Fourth Proportional to 58.02, 87 and 27.56

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Solution

The fourth proportional to 58.02, 87 and 27.56 is: 41.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.02 : 87 = 27.56 : x
  2. Step 2: Convert to fraction form
    58.02/87 = 27.56/x
  3. Step 3: Cross multiply
    58.02x = 87 × 27.56
  4. Step 4: Simplify right side
    58.02x = 2,397.29
  5. Step 5: Solve for x
    x = 2,397.29/58.02
  6. Step 6: Final answer
    x = 41.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.