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Finding the Fourth Proportional to 491.99, 737.75 and 145.31

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Solution

The fourth proportional to 491.99, 737.75 and 145.31 is: 217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.99 : 737.75 = 145.31 : x
  2. Step 2: Convert to fraction form
    491.99/737.75 = 145.31/x
  3. Step 3: Cross multiply
    491.99x = 737.75 × 145.31
  4. Step 4: Simplify right side
    491.99x = 107,199.13
  5. Step 5: Solve for x
    x = 107,199.13/491.99
  6. Step 6: Final answer
    x = 217.89

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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.