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Finding the Fourth Proportional to 491.74, 737.54 and 167.08

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Solution

The fourth proportional to 491.74, 737.54 and 167.08 is: 250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.74 : 737.54 = 167.08 : x
  2. Step 2: Convert to fraction form
    491.74/737.54 = 167.08/x
  3. Step 3: Cross multiply
    491.74x = 737.54 × 167.08
  4. Step 4: Simplify right side
    491.74x = 123,228.18
  5. Step 5: Solve for x
    x = 123,228.18/491.74
  6. Step 6: Final answer
    x = 250.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.