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Finding the Fourth Proportional to 288.81, 432.30 and 245.07

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Solution

The fourth proportional to 288.81, 432.30 and 245.07 is: 366.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.81 : 432.30 = 245.07 : x
  2. Step 2: Convert to fraction form
    288.81/432.30 = 245.07/x
  3. Step 3: Cross multiply
    288.81x = 432.30 × 245.07
  4. Step 4: Simplify right side
    288.81x = 105,943.76
  5. Step 5: Solve for x
    x = 105,943.76/288.81
  6. Step 6: Final answer
    x = 366.83

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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.