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Finding the Fourth Proportional to 508.93, 702.23 and 299.14

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Solution

The fourth proportional to 508.93, 702.23 and 299.14 is: 412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.93 : 702.23 = 299.14 : x
  2. Step 2: Convert to fraction form
    508.93/702.23 = 299.14/x
  3. Step 3: Cross multiply
    508.93x = 702.23 × 299.14
  4. Step 4: Simplify right side
    508.93x = 210,060.08
  5. Step 5: Solve for x
    x = 210,060.08/508.93
  6. Step 6: Final answer
    x = 412.75

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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.