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Finding the Fourth Proportional to 265.64, 399 and 174.50

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Solution

The fourth proportional to 265.64, 399 and 174.50 is: 262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.64 : 399 = 174.50 : x
  2. Step 2: Convert to fraction form
    265.64/399 = 174.50/x
  3. Step 3: Cross multiply
    265.64x = 399 × 174.50
  4. Step 4: Simplify right side
    265.64x = 69,625.50
  5. Step 5: Solve for x
    x = 69,625.50/265.64
  6. Step 6: Final answer
    x = 262.10

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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.