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Finding the Fourth Proportional to 288.18, 430.06 and 257.42

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Solution

The fourth proportional to 288.18, 430.06 and 257.42 is: 384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.18 : 430.06 = 257.42 : x
  2. Step 2: Convert to fraction form
    288.18/430.06 = 257.42/x
  3. Step 3: Cross multiply
    288.18x = 430.06 × 257.42
  4. Step 4: Simplify right side
    288.18x = 110,706.05
  5. Step 5: Solve for x
    x = 110,706.05/288.18
  6. Step 6: Final answer
    x = 384.16

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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.