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Finding the Fourth Proportional to 313.39, 467.66 and 278.88

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Solution

The fourth proportional to 313.39, 467.66 and 278.88 is: 416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.39 : 467.66 = 278.88 : x
  2. Step 2: Convert to fraction form
    313.39/467.66 = 278.88/x
  3. Step 3: Cross multiply
    313.39x = 467.66 × 278.88
  4. Step 4: Simplify right side
    313.39x = 130,421.55
  5. Step 5: Solve for x
    x = 130,421.55/313.39
  6. Step 6: Final answer
    x = 416.16

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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.