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Finding the Fourth Proportional to 421.70, 581.83 and 251.32

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Solution

The fourth proportional to 421.70, 581.83 and 251.32 is: 346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.70 : 581.83 = 251.32 : x
  2. Step 2: Convert to fraction form
    421.70/581.83 = 251.32/x
  3. Step 3: Cross multiply
    421.70x = 581.83 × 251.32
  4. Step 4: Simplify right side
    421.70x = 146,223.43
  5. Step 5: Solve for x
    x = 146,223.43/421.70
  6. Step 6: Final answer
    x = 346.75

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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.