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Finding the Fourth Proportional to 420.93, 630.86 and 235.58

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Solution

The fourth proportional to 420.93, 630.86 and 235.58 is: 353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.93 : 630.86 = 235.58 : x
  2. Step 2: Convert to fraction form
    420.93/630.86 = 235.58/x
  3. Step 3: Cross multiply
    420.93x = 630.86 × 235.58
  4. Step 4: Simplify right side
    420.93x = 148,613.67
  5. Step 5: Solve for x
    x = 148,613.67/420.93
  6. Step 6: Final answer
    x = 353.06

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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.