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Finding the Fourth Proportional to 58.76, 88.20 and 40.76

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Solution

The fourth proportional to 58.76, 88.20 and 40.76 is: 61.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.76 : 88.20 = 40.76 : x
  2. Step 2: Convert to fraction form
    58.76/88.20 = 40.76/x
  3. Step 3: Cross multiply
    58.76x = 88.20 × 40.76
  4. Step 4: Simplify right side
    58.76x = 3,595.03
  5. Step 5: Solve for x
    x = 3,595.03/58.76
  6. Step 6: Final answer
    x = 61.18

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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.