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Finding the Fourth Proportional to 339.03, 508.08 and 176.82

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Solution

The fourth proportional to 339.03, 508.08 and 176.82 is: 264.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.03 : 508.08 = 176.82 : x
  2. Step 2: Convert to fraction form
    339.03/508.08 = 176.82/x
  3. Step 3: Cross multiply
    339.03x = 508.08 × 176.82
  4. Step 4: Simplify right side
    339.03x = 89,838.71
  5. Step 5: Solve for x
    x = 89,838.71/339.03
  6. Step 6: Final answer
    x = 264.99

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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.