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Finding the Fourth Proportional to 384.78, 530.89 and 219.00

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Solution

The fourth proportional to 384.78, 530.89 and 219.00 is: 302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.78 : 530.89 = 219.00 : x
  2. Step 2: Convert to fraction form
    384.78/530.89 = 219.00/x
  3. Step 3: Cross multiply
    384.78x = 530.89 × 219.00
  4. Step 4: Simplify right side
    384.78x = 116,266.35
  5. Step 5: Solve for x
    x = 116,266.35/384.78
  6. Step 6: Final answer
    x = 302.16

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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.