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Finding the Fourth Proportional to 459.88, 688.54 and 266.60

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Solution

The fourth proportional to 459.88, 688.54 and 266.60 is: 399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.88 : 688.54 = 266.60 : x
  2. Step 2: Convert to fraction form
    459.88/688.54 = 266.60/x
  3. Step 3: Cross multiply
    459.88x = 688.54 × 266.60
  4. Step 4: Simplify right side
    459.88x = 183,564.76
  5. Step 5: Solve for x
    x = 183,564.76/459.88
  6. Step 6: Final answer
    x = 399.16

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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.