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Finding the Fourth Proportional to 421.78, 582.02 and 264.36

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Solution

The fourth proportional to 421.78, 582.02 and 264.36 is: 364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.78 : 582.02 = 264.36 : x
  2. Step 2: Convert to fraction form
    421.78/582.02 = 264.36/x
  3. Step 3: Cross multiply
    421.78x = 582.02 × 264.36
  4. Step 4: Simplify right side
    421.78x = 153,862.81
  5. Step 5: Solve for x
    x = 153,862.81/421.78
  6. Step 6: Final answer
    x = 364.79

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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.