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Finding the Fourth Proportional to 318, 477.09 and 155.77

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Solution

The fourth proportional to 318, 477.09 and 155.77 is: 233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    318 : 477.09 = 155.77 : x
  2. Step 2: Convert to fraction form
    318/477.09 = 155.77/x
  3. Step 3: Cross multiply
    318x = 477.09 × 155.77
  4. Step 4: Simplify right side
    318x = 74,316.31
  5. Step 5: Solve for x
    x = 74,316.31/318
  6. Step 6: Final answer
    x = 233.70

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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.