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Finding the Fourth Proportional to 499.50, 689.38 and 292.50

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Solution

The fourth proportional to 499.50, 689.38 and 292.50 is: 403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.50 : 689.38 = 292.50 : x
  2. Step 2: Convert to fraction form
    499.50/689.38 = 292.50/x
  3. Step 3: Cross multiply
    499.50x = 689.38 × 292.50
  4. Step 4: Simplify right side
    499.50x = 201,643.65
  5. Step 5: Solve for x
    x = 201,643.65/499.50
  6. Step 6: Final answer
    x = 403.69

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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.