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Finding the Fourth Proportional to 434.16, 651.13 and 141.58

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Solution

The fourth proportional to 434.16, 651.13 and 141.58 is: 212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.16 : 651.13 = 141.58 : x
  2. Step 2: Convert to fraction form
    434.16/651.13 = 141.58/x
  3. Step 3: Cross multiply
    434.16x = 651.13 × 141.58
  4. Step 4: Simplify right side
    434.16x = 92,188.14
  5. Step 5: Solve for x
    x = 92,188.14/434.16
  6. Step 6: Final answer
    x = 212.34

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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.