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Finding the Fourth Proportional to 288.11, 429.70 and 245.06

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Solution

The fourth proportional to 288.11, 429.70 and 245.06 is: 365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.11 : 429.70 = 245.06 : x
  2. Step 2: Convert to fraction form
    288.11/429.70 = 245.06/x
  3. Step 3: Cross multiply
    288.11x = 429.70 × 245.06
  4. Step 4: Simplify right side
    288.11x = 105,302.28
  5. Step 5: Solve for x
    x = 105,302.28/288.11
  6. Step 6: Final answer
    x = 365.49

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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.