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Finding the Fourth Proportional to 421.16, 630.99 and 235.82

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Solution

The fourth proportional to 421.16, 630.99 and 235.82 is: 353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.16 : 630.99 = 235.82 : x
  2. Step 2: Convert to fraction form
    421.16/630.99 = 235.82/x
  3. Step 3: Cross multiply
    421.16x = 630.99 × 235.82
  4. Step 4: Simplify right side
    421.16x = 148,800.06
  5. Step 5: Solve for x
    x = 148,800.06/421.16
  6. Step 6: Final answer
    x = 353.31

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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.