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Finding the Fourth Proportional to 287.69, 393.93 and 275.40

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Solution

The fourth proportional to 287.69, 393.93 and 275.40 is: 377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.69 : 393.93 = 275.40 : x
  2. Step 2: Convert to fraction form
    287.69/393.93 = 275.40/x
  3. Step 3: Cross multiply
    287.69x = 393.93 × 275.40
  4. Step 4: Simplify right side
    287.69x = 108,488.32
  5. Step 5: Solve for x
    x = 108,488.32/287.69
  6. Step 6: Final answer
    x = 377.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.