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Finding the Fourth Proportional to 435.38, 653.18 and 142.90

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Solution

The fourth proportional to 435.38, 653.18 and 142.90 is: 214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.38 : 653.18 = 142.90 : x
  2. Step 2: Convert to fraction form
    435.38/653.18 = 142.90/x
  3. Step 3: Cross multiply
    435.38x = 653.18 × 142.90
  4. Step 4: Simplify right side
    435.38x = 93,337.07
  5. Step 5: Solve for x
    x = 93,337.07/435.38
  6. Step 6: Final answer
    x = 214.38

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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.