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Finding the Fourth Proportional to 389.53, 537.70 and 265.25

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Solution

The fourth proportional to 389.53, 537.70 and 265.25 is: 366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.53 : 537.70 = 265.25 : x
  2. Step 2: Convert to fraction form
    389.53/537.70 = 265.25/x
  3. Step 3: Cross multiply
    389.53x = 537.70 × 265.25
  4. Step 4: Simplify right side
    389.53x = 142,622.57
  5. Step 5: Solve for x
    x = 142,622.57/389.53
  6. Step 6: Final answer
    x = 366.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.