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Finding the Fourth Proportional to 353.95, 528.02 and 296.53

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Solution

The fourth proportional to 353.95, 528.02 and 296.53 is: 442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.95 : 528.02 = 296.53 : x
  2. Step 2: Convert to fraction form
    353.95/528.02 = 296.53/x
  3. Step 3: Cross multiply
    353.95x = 528.02 × 296.53
  4. Step 4: Simplify right side
    353.95x = 156,573.77
  5. Step 5: Solve for x
    x = 156,573.77/353.95
  6. Step 6: Final answer
    x = 442.36

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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.