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Finding the Fourth Proportional to 151.90, 210.70 and 146.72

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Solution

The fourth proportional to 151.90, 210.70 and 146.72 is: 203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.90 : 210.70 = 146.72 : x
  2. Step 2: Convert to fraction form
    151.90/210.70 = 146.72/x
  3. Step 3: Cross multiply
    151.90x = 210.70 × 146.72
  4. Step 4: Simplify right side
    151.90x = 30,913.90
  5. Step 5: Solve for x
    x = 30,913.90/151.90
  6. Step 6: Final answer
    x = 203.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.