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Finding the Fourth Proportional to 384.03, 530.15 and 226.61

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Solution

The fourth proportional to 384.03, 530.15 and 226.61 is: 312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.03 : 530.15 = 226.61 : x
  2. Step 2: Convert to fraction form
    384.03/530.15 = 226.61/x
  3. Step 3: Cross multiply
    384.03x = 530.15 × 226.61
  4. Step 4: Simplify right side
    384.03x = 120,133.51
  5. Step 5: Solve for x
    x = 120,133.51/384.03
  6. Step 6: Final answer
    x = 312.82

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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.