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Finding the Fourth Proportional to 288.21, 433.95 and 248.58

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Solution

The fourth proportional to 288.21, 433.95 and 248.58 is: 374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.21 : 433.95 = 248.58 : x
  2. Step 2: Convert to fraction form
    288.21/433.95 = 248.58/x
  3. Step 3: Cross multiply
    288.21x = 433.95 × 248.58
  4. Step 4: Simplify right side
    288.21x = 107,871.29
  5. Step 5: Solve for x
    x = 107,871.29/288.21
  6. Step 6: Final answer
    x = 374.28

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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.