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Finding the Fourth Proportional to 288.42, 429.69 and 274.65

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Solution

The fourth proportional to 288.42, 429.69 and 274.65 is: 409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.42 : 429.69 = 274.65 : x
  2. Step 2: Convert to fraction form
    288.42/429.69 = 274.65/x
  3. Step 3: Cross multiply
    288.42x = 429.69 × 274.65
  4. Step 4: Simplify right side
    288.42x = 118,014.36
  5. Step 5: Solve for x
    x = 118,014.36/288.42
  6. Step 6: Final answer
    x = 409.18

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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.