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Finding the Fourth Proportional to 421.60, 582.48 and 347.20

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Solution

The fourth proportional to 421.60, 582.48 and 347.20 is: 479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.60 : 582.48 = 347.20 : x
  2. Step 2: Convert to fraction form
    421.60/582.48 = 347.20/x
  3. Step 3: Cross multiply
    421.60x = 582.48 × 347.20
  4. Step 4: Simplify right side
    421.60x = 202,237.06
  5. Step 5: Solve for x
    x = 202,237.06/421.60
  6. Step 6: Final answer
    x = 479.69

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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.