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Finding the Fourth Proportional to 151.02, 224.73 and 146.70

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Solution

The fourth proportional to 151.02, 224.73 and 146.70 is: 218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.02 : 224.73 = 146.70 : x
  2. Step 2: Convert to fraction form
    151.02/224.73 = 146.70/x
  3. Step 3: Cross multiply
    151.02x = 224.73 × 146.70
  4. Step 4: Simplify right side
    151.02x = 32,967.89
  5. Step 5: Solve for x
    x = 32,967.89/151.02
  6. Step 6: Final answer
    x = 218.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.