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Finding the Fourth Proportional to 339.17, 508.35 and 156.58

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Solution

The fourth proportional to 339.17, 508.35 and 156.58 is: 234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.17 : 508.35 = 156.58 : x
  2. Step 2: Convert to fraction form
    339.17/508.35 = 156.58/x
  3. Step 3: Cross multiply
    339.17x = 508.35 × 156.58
  4. Step 4: Simplify right side
    339.17x = 79,597.44
  5. Step 5: Solve for x
    x = 79,597.44/339.17
  6. Step 6: Final answer
    x = 234.68

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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.