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Finding the Fourth Proportional to 384.14, 530.15 and 236.86

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Solution

The fourth proportional to 384.14, 530.15 and 236.86 is: 326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.14 : 530.15 = 236.86 : x
  2. Step 2: Convert to fraction form
    384.14/530.15 = 236.86/x
  3. Step 3: Cross multiply
    384.14x = 530.15 × 236.86
  4. Step 4: Simplify right side
    384.14x = 125,571.33
  5. Step 5: Solve for x
    x = 125,571.33/384.14
  6. Step 6: Final answer
    x = 326.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.