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Finding the Fourth Proportional to 59.76, 89.15 and 49.59

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Solution

The fourth proportional to 59.76, 89.15 and 49.59 is: 73.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.76 : 89.15 = 49.59 : x
  2. Step 2: Convert to fraction form
    59.76/89.15 = 49.59/x
  3. Step 3: Cross multiply
    59.76x = 89.15 × 49.59
  4. Step 4: Simplify right side
    59.76x = 4,420.95
  5. Step 5: Solve for x
    x = 4,420.95/59.76
  6. Step 6: Final answer
    x = 73.98

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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.