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Finding the Fourth Proportional to 458.88, 687.96 and 266.64

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Solution

The fourth proportional to 458.88, 687.96 and 266.64 is: 399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.88 : 687.96 = 266.64 : x
  2. Step 2: Convert to fraction form
    458.88/687.96 = 266.64/x
  3. Step 3: Cross multiply
    458.88x = 687.96 × 266.64
  4. Step 4: Simplify right side
    458.88x = 183,437.65
  5. Step 5: Solve for x
    x = 183,437.65/458.88
  6. Step 6: Final answer
    x = 399.75

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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.