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Finding the Fourth Proportional to 491.53, 737.21 and 140.16

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Solution

The fourth proportional to 491.53, 737.21 and 140.16 is: 210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.53 : 737.21 = 140.16 : x
  2. Step 2: Convert to fraction form
    491.53/737.21 = 140.16/x
  3. Step 3: Cross multiply
    491.53x = 737.21 × 140.16
  4. Step 4: Simplify right side
    491.53x = 103,325.53
  5. Step 5: Solve for x
    x = 103,325.53/491.53
  6. Step 6: Final answer
    x = 210.21

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