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Finding the Fourth Proportional to 287.44, 432.73 and 261.93

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Solution

The fourth proportional to 287.44, 432.73 and 261.93 is: 394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.44 : 432.73 = 261.93 : x
  2. Step 2: Convert to fraction form
    287.44/432.73 = 261.93/x
  3. Step 3: Cross multiply
    287.44x = 432.73 × 261.93
  4. Step 4: Simplify right side
    287.44x = 113,341.50
  5. Step 5: Solve for x
    x = 113,341.50/287.44
  6. Step 6: Final answer
    x = 394.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.