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Finding the Fourth Proportional to 364.65, 543.84 and 310.15

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Solution

The fourth proportional to 364.65, 543.84 and 310.15 is: 462.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.65 : 543.84 = 310.15 : x
  2. Step 2: Convert to fraction form
    364.65/543.84 = 310.15/x
  3. Step 3: Cross multiply
    364.65x = 543.84 × 310.15
  4. Step 4: Simplify right side
    364.65x = 168,673.89
  5. Step 5: Solve for x
    x = 168,673.89/364.65
  6. Step 6: Final answer
    x = 462.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.