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Finding the Fourth Proportional to 151.98, 210.95 and 146.04

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Solution

The fourth proportional to 151.98, 210.95 and 146.04 is: 202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.98 : 210.95 = 146.04 : x
  2. Step 2: Convert to fraction form
    151.98/210.95 = 146.04/x
  3. Step 3: Cross multiply
    151.98x = 210.95 × 146.04
  4. Step 4: Simplify right side
    151.98x = 30,806.41
  5. Step 5: Solve for x
    x = 30,806.41/151.98
  6. Step 6: Final answer
    x = 202.70

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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.