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Finding the Fourth Proportional to 305.07, 420.99 and 167.07

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Solution

The fourth proportional to 305.07, 420.99 and 167.07 is: 230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.07 : 420.99 = 167.07 : x
  2. Step 2: Convert to fraction form
    305.07/420.99 = 167.07/x
  3. Step 3: Cross multiply
    305.07x = 420.99 × 167.07
  4. Step 4: Simplify right side
    305.07x = 70,331.86
  5. Step 5: Solve for x
    x = 70,331.86/305.07
  6. Step 6: Final answer
    x = 230.55

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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.