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Finding the Fourth Proportional to 425.22, 586.80 and 259.50

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Solution

The fourth proportional to 425.22, 586.80 and 259.50 is: 358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.22 : 586.80 = 259.50 : x
  2. Step 2: Convert to fraction form
    425.22/586.80 = 259.50/x
  3. Step 3: Cross multiply
    425.22x = 586.80 × 259.50
  4. Step 4: Simplify right side
    425.22x = 152,274.60
  5. Step 5: Solve for x
    x = 152,274.60/425.22
  6. Step 6: Final answer
    x = 358.11

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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.