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Finding the Fourth Proportional to 384.32, 530.17 and 236.86

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Solution

The fourth proportional to 384.32, 530.17 and 236.86 is: 326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.32 : 530.17 = 236.86 : x
  2. Step 2: Convert to fraction form
    384.32/530.17 = 236.86/x
  3. Step 3: Cross multiply
    384.32x = 530.17 × 236.86
  4. Step 4: Simplify right side
    384.32x = 125,574.15
  5. Step 5: Solve for x
    x = 125,574.15/384.32
  6. Step 6: Final answer
    x = 326.74

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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.