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Finding the Fourth Proportional to 59.78, 89.64 and 31.28

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Solution

The fourth proportional to 59.78, 89.64 and 31.28 is: 46.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.78 : 89.64 = 31.28 : x
  2. Step 2: Convert to fraction form
    59.78/89.64 = 31.28/x
  3. Step 3: Cross multiply
    59.78x = 89.64 × 31.28
  4. Step 4: Simplify right side
    59.78x = 2,803.94
  5. Step 5: Solve for x
    x = 2,803.94/59.78
  6. Step 6: Final answer
    x = 46.90

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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.