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Finding the Fourth Proportional to 384.56, 530.81 and 274.35

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Solution

The fourth proportional to 384.56, 530.81 and 274.35 is: 378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.56 : 530.81 = 274.35 : x
  2. Step 2: Convert to fraction form
    384.56/530.81 = 274.35/x
  3. Step 3: Cross multiply
    384.56x = 530.81 × 274.35
  4. Step 4: Simplify right side
    384.56x = 145,627.72
  5. Step 5: Solve for x
    x = 145,627.72/384.56
  6. Step 6: Final answer
    x = 378.69

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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.