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Finding the Fourth Proportional to 469.55, 703.70 and 195.32

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Solution

The fourth proportional to 469.55, 703.70 and 195.32 is: 292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.55 : 703.70 = 195.32 : x
  2. Step 2: Convert to fraction form
    469.55/703.70 = 195.32/x
  3. Step 3: Cross multiply
    469.55x = 703.70 × 195.32
  4. Step 4: Simplify right side
    469.55x = 137,445.71
  5. Step 5: Solve for x
    x = 137,445.71/469.55
  6. Step 6: Final answer
    x = 292.72

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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.