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Finding the Fourth Proportional to 319.15, 478.77 and 156.79

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Solution

The fourth proportional to 319.15, 478.77 and 156.79 is: 235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.15 : 478.77 = 156.79 : x
  2. Step 2: Convert to fraction form
    319.15/478.77 = 156.79/x
  3. Step 3: Cross multiply
    319.15x = 478.77 × 156.79
  4. Step 4: Simplify right side
    319.15x = 75,066.35
  5. Step 5: Solve for x
    x = 75,066.35/319.15
  6. Step 6: Final answer
    x = 235.21

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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.