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Finding the Fourth Proportional to 509.44, 702.96 and 288.40

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Solution

The fourth proportional to 509.44, 702.96 and 288.40 is: 397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.44 : 702.96 = 288.40 : x
  2. Step 2: Convert to fraction form
    509.44/702.96 = 288.40/x
  3. Step 3: Cross multiply
    509.44x = 702.96 × 288.40
  4. Step 4: Simplify right side
    509.44x = 202,733.66
  5. Step 5: Solve for x
    x = 202,733.66/509.44
  6. Step 6: Final answer
    x = 397.95

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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.