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Finding the Fourth Proportional to 491.17, 736.76 and 144.50

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Solution

The fourth proportional to 491.17, 736.76 and 144.50 is: 216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.17 : 736.76 = 144.50 : x
  2. Step 2: Convert to fraction form
    491.17/736.76 = 144.50/x
  3. Step 3: Cross multiply
    491.17x = 736.76 × 144.50
  4. Step 4: Simplify right side
    491.17x = 106,461.82
  5. Step 5: Solve for x
    x = 106,461.82/491.17
  6. Step 6: Final answer
    x = 216.75

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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.