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Finding the Fourth Proportional to 435.89, 652.92 and 253.19

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Solution

The fourth proportional to 435.89, 652.92 and 253.19 is: 379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.89 : 652.92 = 253.19 : x
  2. Step 2: Convert to fraction form
    435.89/652.92 = 253.19/x
  3. Step 3: Cross multiply
    435.89x = 652.92 × 253.19
  4. Step 4: Simplify right side
    435.89x = 165,312.81
  5. Step 5: Solve for x
    x = 165,312.81/435.89
  6. Step 6: Final answer
    x = 379.25

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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.