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Finding the Fourth Proportional to 384.42, 530.20 and 371.71

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Solution

The fourth proportional to 384.42, 530.20 and 371.71 is: 512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.42 : 530.20 = 371.71 : x
  2. Step 2: Convert to fraction form
    384.42/530.20 = 371.71/x
  3. Step 3: Cross multiply
    384.42x = 530.20 × 371.71
  4. Step 4: Simplify right side
    384.42x = 197,080.64
  5. Step 5: Solve for x
    x = 197,080.64/384.42
  6. Step 6: Final answer
    x = 512.67

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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.