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Finding the Fourth Proportional to 421.95, 632.58 and 259.29

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Solution

The fourth proportional to 421.95, 632.58 and 259.29 is: 388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.95 : 632.58 = 259.29 : x
  2. Step 2: Convert to fraction form
    421.95/632.58 = 259.29/x
  3. Step 3: Cross multiply
    421.95x = 632.58 × 259.29
  4. Step 4: Simplify right side
    421.95x = 164,021.67
  5. Step 5: Solve for x
    x = 164,021.67/421.95
  6. Step 6: Final answer
    x = 388.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.