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Finding the Fourth Proportional to 421.89, 581.96 and 253.72

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Solution

The fourth proportional to 421.89, 581.96 and 253.72 is: 349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.89 : 581.96 = 253.72 : x
  2. Step 2: Convert to fraction form
    421.89/581.96 = 253.72/x
  3. Step 3: Cross multiply
    421.89x = 581.96 × 253.72
  4. Step 4: Simplify right side
    421.89x = 147,657.07
  5. Step 5: Solve for x
    x = 147,657.07/421.89
  6. Step 6: Final answer
    x = 349.99

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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.