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Finding the Fourth Proportional to 288.17, 430.58 and 253.02

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Solution

The fourth proportional to 288.17, 430.58 and 253.02 is: 378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.17 : 430.58 = 253.02 : x
  2. Step 2: Convert to fraction form
    288.17/430.58 = 253.02/x
  3. Step 3: Cross multiply
    288.17x = 430.58 × 253.02
  4. Step 4: Simplify right side
    288.17x = 108,947.60
  5. Step 5: Solve for x
    x = 108,947.60/288.17
  6. Step 6: Final answer
    x = 378.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.