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Finding the Fourth Proportional to 287.40, 397.26 and 264.72

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Solution

The fourth proportional to 287.40, 397.26 and 264.72 is: 365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.40 : 397.26 = 264.72 : x
  2. Step 2: Convert to fraction form
    287.40/397.26 = 264.72/x
  3. Step 3: Cross multiply
    287.40x = 397.26 × 264.72
  4. Step 4: Simplify right side
    287.40x = 105,162.67
  5. Step 5: Solve for x
    x = 105,162.67/287.40
  6. Step 6: Final answer
    x = 365.91

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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.