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Finding the Fourth Proportional to 288.49, 430.63 and 253.89

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Solution

The fourth proportional to 288.49, 430.63 and 253.89 is: 378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.49 : 430.63 = 253.89 : x
  2. Step 2: Convert to fraction form
    288.49/430.63 = 253.89/x
  3. Step 3: Cross multiply
    288.49x = 430.63 × 253.89
  4. Step 4: Simplify right side
    288.49x = 109,332.65
  5. Step 5: Solve for x
    x = 109,332.65/288.49
  6. Step 6: Final answer
    x = 378.98

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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.