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Finding the Fourth Proportional to 491.57, 737.40 and 144.89

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Solution

The fourth proportional to 491.57, 737.40 and 144.89 is: 217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.57 : 737.40 = 144.89 : x
  2. Step 2: Convert to fraction form
    491.57/737.40 = 144.89/x
  3. Step 3: Cross multiply
    491.57x = 737.40 × 144.89
  4. Step 4: Simplify right side
    491.57x = 106,841.51
  5. Step 5: Solve for x
    x = 106,841.51/491.57
  6. Step 6: Final answer
    x = 217.35

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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.