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Finding the Fourth Proportional to 384.34, 530.34 and 227.06

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Solution

The fourth proportional to 384.34, 530.34 and 227.06 is: 313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.34 : 530.34 = 227.06 : x
  2. Step 2: Convert to fraction form
    384.34/530.34 = 227.06/x
  3. Step 3: Cross multiply
    384.34x = 530.34 × 227.06
  4. Step 4: Simplify right side
    384.34x = 120,419.00
  5. Step 5: Solve for x
    x = 120,419.00/384.34
  6. Step 6: Final answer
    x = 313.31

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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.