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Finding the Fourth Proportional to 207.40, 285.48 and 149.08

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Solution

The fourth proportional to 207.40, 285.48 and 149.08 is: 205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.40 : 285.48 = 149.08 : x
  2. Step 2: Convert to fraction form
    207.40/285.48 = 149.08/x
  3. Step 3: Cross multiply
    207.40x = 285.48 × 149.08
  4. Step 4: Simplify right side
    207.40x = 42,559.36
  5. Step 5: Solve for x
    x = 42,559.36/207.40
  6. Step 6: Final answer
    x = 205.20

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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.