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Finding the Fourth Proportional to 151.60, 210.66 and 150.99

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Solution

The fourth proportional to 151.60, 210.66 and 150.99 is: 209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.60 : 210.66 = 150.99 : x
  2. Step 2: Convert to fraction form
    151.60/210.66 = 150.99/x
  3. Step 3: Cross multiply
    151.60x = 210.66 × 150.99
  4. Step 4: Simplify right side
    151.60x = 31,807.55
  5. Step 5: Solve for x
    x = 31,807.55/151.60
  6. Step 6: Final answer
    x = 209.81

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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.