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Finding the Fourth Proportional to 45.02, 67.40 and 31.50

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Solution

The fourth proportional to 45.02, 67.40 and 31.50 is: 47.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.02 : 67.40 = 31.50 : x
  2. Step 2: Convert to fraction form
    45.02/67.40 = 31.50/x
  3. Step 3: Cross multiply
    45.02x = 67.40 × 31.50
  4. Step 4: Simplify right side
    45.02x = 2,123.10
  5. Step 5: Solve for x
    x = 2,123.10/45.02
  6. Step 6: Final answer
    x = 47.16

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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.