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Finding the Fourth Proportional to 488.95, 674.66 and 302.50

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Solution

The fourth proportional to 488.95, 674.66 and 302.50 is: 417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.95 : 674.66 = 302.50 : x
  2. Step 2: Convert to fraction form
    488.95/674.66 = 302.50/x
  3. Step 3: Cross multiply
    488.95x = 674.66 × 302.50
  4. Step 4: Simplify right side
    488.95x = 204,086.25
  5. Step 5: Solve for x
    x = 204,086.25/488.95
  6. Step 6: Final answer
    x = 417.40

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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.