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Finding the Fourth Proportional to 347.52, 479.24 and 259.40

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Solution

The fourth proportional to 347.52, 479.24 and 259.40 is: 357.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.52 : 479.24 = 259.40 : x
  2. Step 2: Convert to fraction form
    347.52/479.24 = 259.40/x
  3. Step 3: Cross multiply
    347.52x = 479.24 × 259.40
  4. Step 4: Simplify right side
    347.52x = 124,314.86
  5. Step 5: Solve for x
    x = 124,314.86/347.52
  6. Step 6: Final answer
    x = 357.72

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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.