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Finding the Fourth Proportional to 353.12, 526.86 and 344.88

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Solution

The fourth proportional to 353.12, 526.86 and 344.88 is: 514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.12 : 526.86 = 344.88 : x
  2. Step 2: Convert to fraction form
    353.12/526.86 = 344.88/x
  3. Step 3: Cross multiply
    353.12x = 526.86 × 344.88
  4. Step 4: Simplify right side
    353.12x = 181,703.48
  5. Step 5: Solve for x
    x = 181,703.48/353.12
  6. Step 6: Final answer
    x = 514.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.