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Finding the Fourth Proportional to 469.19, 702.48 and 304.85

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Solution

The fourth proportional to 469.19, 702.48 and 304.85 is: 456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.19 : 702.48 = 304.85 : x
  2. Step 2: Convert to fraction form
    469.19/702.48 = 304.85/x
  3. Step 3: Cross multiply
    469.19x = 702.48 × 304.85
  4. Step 4: Simplify right side
    469.19x = 214,147.52
  5. Step 5: Solve for x
    x = 214,147.52/469.19
  6. Step 6: Final answer
    x = 456.42

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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.