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Finding the Fourth Proportional to 145.50, 200.32 and 101.76

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Solution

The fourth proportional to 145.50, 200.32 and 101.76 is: 140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.50 : 200.32 = 101.76 : x
  2. Step 2: Convert to fraction form
    145.50/200.32 = 101.76/x
  3. Step 3: Cross multiply
    145.50x = 200.32 × 101.76
  4. Step 4: Simplify right side
    145.50x = 20,384.56
  5. Step 5: Solve for x
    x = 20,384.56/145.50
  6. Step 6: Final answer
    x = 140.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.