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Finding the Fourth Proportional to 384.90, 531 and 245.01

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Solution

The fourth proportional to 384.90, 531 and 245.01 is: 338.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.90 : 531 = 245.01 : x
  2. Step 2: Convert to fraction form
    384.90/531 = 245.01/x
  3. Step 3: Cross multiply
    384.90x = 531 × 245.01
  4. Step 4: Simplify right side
    384.90x = 130,100.31
  5. Step 5: Solve for x
    x = 130,100.31/384.90
  6. Step 6: Final answer
    x = 338.01

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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.