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Finding the Fourth Proportional to 434.86, 652.28 and 171.34

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Solution

The fourth proportional to 434.86, 652.28 and 171.34 is: 257.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.86 : 652.28 = 171.34 : x
  2. Step 2: Convert to fraction form
    434.86/652.28 = 171.34/x
  3. Step 3: Cross multiply
    434.86x = 652.28 × 171.34
  4. Step 4: Simplify right side
    434.86x = 111,759.17
  5. Step 5: Solve for x
    x = 111,759.17/434.86
  6. Step 6: Final answer
    x = 257.00

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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.