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Finding the Fourth Proportional to 152.60, 209.35 and 151.34

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Solution

The fourth proportional to 152.60, 209.35 and 151.34 is: 207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.60 : 209.35 = 151.34 : x
  2. Step 2: Convert to fraction form
    152.60/209.35 = 151.34/x
  3. Step 3: Cross multiply
    152.60x = 209.35 × 151.34
  4. Step 4: Simplify right side
    152.60x = 31,682.17
  5. Step 5: Solve for x
    x = 31,682.17/152.60
  6. Step 6: Final answer
    x = 207.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.