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Finding the Fourth Proportional to 310.04, 427.69 and 185.65

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Solution

The fourth proportional to 310.04, 427.69 and 185.65 is: 256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.04 : 427.69 = 185.65 : x
  2. Step 2: Convert to fraction form
    310.04/427.69 = 185.65/x
  3. Step 3: Cross multiply
    310.04x = 427.69 × 185.65
  4. Step 4: Simplify right side
    310.04x = 79,399.81
  5. Step 5: Solve for x
    x = 79,399.81/310.04
  6. Step 6: Final answer
    x = 256.10

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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.