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Finding the Fourth Proportional to 508.91, 702.30 and 276.04

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Solution

The fourth proportional to 508.91, 702.30 and 276.04 is: 380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.91 : 702.30 = 276.04 : x
  2. Step 2: Convert to fraction form
    508.91/702.30 = 276.04/x
  3. Step 3: Cross multiply
    508.91x = 702.30 × 276.04
  4. Step 4: Simplify right side
    508.91x = 193,858.00
  5. Step 5: Solve for x
    x = 193,858.00/508.91
  6. Step 6: Final answer
    x = 380.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.