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Finding the Fourth Proportional to 384.18, 530.08 and 218.34

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Solution

The fourth proportional to 384.18, 530.08 and 218.34 is: 301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.18 : 530.08 = 218.34 : x
  2. Step 2: Convert to fraction form
    384.18/530.08 = 218.34/x
  3. Step 3: Cross multiply
    384.18x = 530.08 × 218.34
  4. Step 4: Simplify right side
    384.18x = 115,737.67
  5. Step 5: Solve for x
    x = 115,737.67/384.18
  6. Step 6: Final answer
    x = 301.26

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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.