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Finding the Fourth Proportional to 468.81, 702.18 and 303.70

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Solution

The fourth proportional to 468.81, 702.18 and 303.70 is: 454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.81 : 702.18 = 303.70 : x
  2. Step 2: Convert to fraction form
    468.81/702.18 = 303.70/x
  3. Step 3: Cross multiply
    468.81x = 702.18 × 303.70
  4. Step 4: Simplify right side
    468.81x = 213,254.08
  5. Step 5: Solve for x
    x = 213,254.08/468.81
  6. Step 6: Final answer
    x = 454.89

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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.