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Finding the Fourth Proportional to 59.70, 89.47 and 39.40

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Solution

The fourth proportional to 59.70, 89.47 and 39.40 is: 59.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.70 : 89.47 = 39.40 : x
  2. Step 2: Convert to fraction form
    59.70/89.47 = 39.40/x
  3. Step 3: Cross multiply
    59.70x = 89.47 × 39.40
  4. Step 4: Simplify right side
    59.70x = 3,525.12
  5. Step 5: Solve for x
    x = 3,525.12/59.70
  6. Step 6: Final answer
    x = 59.05

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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.