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Finding the Fourth Proportional to 152.49, 209.99 and 149.30

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Solution

The fourth proportional to 152.49, 209.99 and 149.30 is: 205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.49 : 209.99 = 149.30 : x
  2. Step 2: Convert to fraction form
    152.49/209.99 = 149.30/x
  3. Step 3: Cross multiply
    152.49x = 209.99 × 149.30
  4. Step 4: Simplify right side
    152.49x = 31,349.71
  5. Step 5: Solve for x
    x = 31,349.71/152.49
  6. Step 6: Final answer
    x = 205.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.