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Finding the Fourth Proportional to 58.62, 88.30 and 54.17

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Solution

The fourth proportional to 58.62, 88.30 and 54.17 is: 81.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.62 : 88.30 = 54.17 : x
  2. Step 2: Convert to fraction form
    58.62/88.30 = 54.17/x
  3. Step 3: Cross multiply
    58.62x = 88.30 × 54.17
  4. Step 4: Simplify right side
    58.62x = 4,782.77
  5. Step 5: Solve for x
    x = 4,782.77/58.62
  6. Step 6: Final answer
    x = 81.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.