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Finding the Fourth Proportional to 145.52, 218.31 and 49.31

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Solution

The fourth proportional to 145.52, 218.31 and 49.31 is: 73.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.52 : 218.31 = 49.31 : x
  2. Step 2: Convert to fraction form
    145.52/218.31 = 49.31/x
  3. Step 3: Cross multiply
    145.52x = 218.31 × 49.31
  4. Step 4: Simplify right side
    145.52x = 10,765.41
  5. Step 5: Solve for x
    x = 10,765.41/145.52
  6. Step 6: Final answer
    x = 73.98

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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.