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Finding the Fourth Proportional to 346.26, 521.27 and 265.47

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Solution

The fourth proportional to 346.26, 521.27 and 265.47 is: 399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.26 : 521.27 = 265.47 : x
  2. Step 2: Convert to fraction form
    346.26/521.27 = 265.47/x
  3. Step 3: Cross multiply
    346.26x = 521.27 × 265.47
  4. Step 4: Simplify right side
    346.26x = 138,381.55
  5. Step 5: Solve for x
    x = 138,381.55/346.26
  6. Step 6: Final answer
    x = 399.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.