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Finding the Fourth Proportional to 749.90, 1,124.87 and 202.16

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Solution

The fourth proportional to 749.90, 1,124.87 and 202.16 is: 303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.90 : 1,124.87 = 202.16 : x
  2. Step 2: Convert to fraction form
    749.90/1,124.87 = 202.16/x
  3. Step 3: Cross multiply
    749.90x = 1,124.87 × 202.16
  4. Step 4: Simplify right side
    749.90x = 227,405.52
  5. Step 5: Solve for x
    x = 227,405.52/749.90
  6. Step 6: Final answer
    x = 303.25

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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.