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Finding the Fourth Proportional to 351.68, 526.88 and 342.72

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Solution

The fourth proportional to 351.68, 526.88 and 342.72 is: 513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.68 : 526.88 = 342.72 : x
  2. Step 2: Convert to fraction form
    351.68/526.88 = 342.72/x
  3. Step 3: Cross multiply
    351.68x = 526.88 × 342.72
  4. Step 4: Simplify right side
    351.68x = 180,572.31
  5. Step 5: Solve for x
    x = 180,572.31/351.68
  6. Step 6: Final answer
    x = 513.46

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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.