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Finding the Fourth Proportional to 508.29, 702.08 and 368.19

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Solution

The fourth proportional to 508.29, 702.08 and 368.19 is: 508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.29 : 702.08 = 368.19 : x
  2. Step 2: Convert to fraction form
    508.29/702.08 = 368.19/x
  3. Step 3: Cross multiply
    508.29x = 702.08 × 368.19
  4. Step 4: Simplify right side
    508.29x = 258,496.99
  5. Step 5: Solve for x
    x = 258,496.99/508.29
  6. Step 6: Final answer
    x = 508.56

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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.