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Finding the Fourth Proportional to 279.66, 416.65 and 265.89

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Solution

The fourth proportional to 279.66, 416.65 and 265.89 is: 396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.66 : 416.65 = 265.89 : x
  2. Step 2: Convert to fraction form
    279.66/416.65 = 265.89/x
  3. Step 3: Cross multiply
    279.66x = 416.65 × 265.89
  4. Step 4: Simplify right side
    279.66x = 110,783.07
  5. Step 5: Solve for x
    x = 110,783.07/279.66
  6. Step 6: Final answer
    x = 396.13

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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.