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Finding the Fourth Proportional to 289.02, 432.57 and 253.38

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Solution

The fourth proportional to 289.02, 432.57 and 253.38 is: 379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.02 : 432.57 = 253.38 : x
  2. Step 2: Convert to fraction form
    289.02/432.57 = 253.38/x
  3. Step 3: Cross multiply
    289.02x = 432.57 × 253.38
  4. Step 4: Simplify right side
    289.02x = 109,604.59
  5. Step 5: Solve for x
    x = 109,604.59/289.02
  6. Step 6: Final answer
    x = 379.23

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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.