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Finding the Fourth Proportional to 421.59, 581.70 and 266.25

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Solution

The fourth proportional to 421.59, 581.70 and 266.25 is: 367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.59 : 581.70 = 266.25 : x
  2. Step 2: Convert to fraction form
    421.59/581.70 = 266.25/x
  3. Step 3: Cross multiply
    421.59x = 581.70 × 266.25
  4. Step 4: Simplify right side
    421.59x = 154,877.63
  5. Step 5: Solve for x
    x = 154,877.63/421.59
  6. Step 6: Final answer
    x = 367.37

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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.