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Finding the Fourth Proportional to 59.55, 89.17 and 49.45

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Solution

The fourth proportional to 59.55, 89.17 and 49.45 is: 74.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.55 : 89.17 = 49.45 : x
  2. Step 2: Convert to fraction form
    59.55/89.17 = 49.45/x
  3. Step 3: Cross multiply
    59.55x = 89.17 × 49.45
  4. Step 4: Simplify right side
    59.55x = 4,409.46
  5. Step 5: Solve for x
    x = 4,409.46/59.55
  6. Step 6: Final answer
    x = 74.05

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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.