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Finding the Fourth Proportional to 347.42, 480.08 and 285.22

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Solution

The fourth proportional to 347.42, 480.08 and 285.22 is: 394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.42 : 480.08 = 285.22 : x
  2. Step 2: Convert to fraction form
    347.42/480.08 = 285.22/x
  3. Step 3: Cross multiply
    347.42x = 480.08 × 285.22
  4. Step 4: Simplify right side
    347.42x = 136,928.42
  5. Step 5: Solve for x
    x = 136,928.42/347.42
  6. Step 6: Final answer
    x = 394.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.