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Finding the Fourth Proportional to 288.27, 433.94 and 258.50

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Solution

The fourth proportional to 288.27, 433.94 and 258.50 is: 389.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.27 : 433.94 = 258.50 : x
  2. Step 2: Convert to fraction form
    288.27/433.94 = 258.50/x
  3. Step 3: Cross multiply
    288.27x = 433.94 × 258.50
  4. Step 4: Simplify right side
    288.27x = 112,173.49
  5. Step 5: Solve for x
    x = 112,173.49/288.27
  6. Step 6: Final answer
    x = 389.13

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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.