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Finding the Fourth Proportional to 288.14, 429.99 and 257.38

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Solution

The fourth proportional to 288.14, 429.99 and 257.38 is: 384.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.14 : 429.99 = 257.38 : x
  2. Step 2: Convert to fraction form
    288.14/429.99 = 257.38/x
  3. Step 3: Cross multiply
    288.14x = 429.99 × 257.38
  4. Step 4: Simplify right side
    288.14x = 110,670.83
  5. Step 5: Solve for x
    x = 110,670.83/288.14
  6. Step 6: Final answer
    x = 384.09

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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.