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Finding the Fourth Proportional to 288.81, 433.63 and 253.17

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Solution

The fourth proportional to 288.81, 433.63 and 253.17 is: 380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.81 : 433.63 = 253.17 : x
  2. Step 2: Convert to fraction form
    288.81/433.63 = 253.17/x
  3. Step 3: Cross multiply
    288.81x = 433.63 × 253.17
  4. Step 4: Simplify right side
    288.81x = 109,782.11
  5. Step 5: Solve for x
    x = 109,782.11/288.81
  6. Step 6: Final answer
    x = 380.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.