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Finding the Fourth Proportional to 352.94, 529.29 and 147.40

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Solution

The fourth proportional to 352.94, 529.29 and 147.40 is: 221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.94 : 529.29 = 147.40 : x
  2. Step 2: Convert to fraction form
    352.94/529.29 = 147.40/x
  3. Step 3: Cross multiply
    352.94x = 529.29 × 147.40
  4. Step 4: Simplify right side
    352.94x = 78,017.35
  5. Step 5: Solve for x
    x = 78,017.35/352.94
  6. Step 6: Final answer
    x = 221.05

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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.