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Finding the Fourth Proportional to 421.47, 582.47 and 316.92

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Solution

The fourth proportional to 421.47, 582.47 and 316.92 is: 437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.47 : 582.47 = 316.92 : x
  2. Step 2: Convert to fraction form
    421.47/582.47 = 316.92/x
  3. Step 3: Cross multiply
    421.47x = 582.47 × 316.92
  4. Step 4: Simplify right side
    421.47x = 184,596.39
  5. Step 5: Solve for x
    x = 184,596.39/421.47
  6. Step 6: Final answer
    x = 437.98

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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.