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Finding the Fourth Proportional to 353.76, 528.29 and 349.95

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Solution

The fourth proportional to 353.76, 528.29 and 349.95 is: 522.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.76 : 528.29 = 349.95 : x
  2. Step 2: Convert to fraction form
    353.76/528.29 = 349.95/x
  3. Step 3: Cross multiply
    353.76x = 528.29 × 349.95
  4. Step 4: Simplify right side
    353.76x = 184,875.09
  5. Step 5: Solve for x
    x = 184,875.09/353.76
  6. Step 6: Final answer
    x = 522.60

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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.