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Finding the Fourth Proportional to 252.00, 347.70 and 152.37

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Solution

The fourth proportional to 252.00, 347.70 and 152.37 is: 210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.00 : 347.70 = 152.37 : x
  2. Step 2: Convert to fraction form
    252.00/347.70 = 152.37/x
  3. Step 3: Cross multiply
    252.00x = 347.70 × 152.37
  4. Step 4: Simplify right side
    252.00x = 52,977.31
  5. Step 5: Solve for x
    x = 52,977.31/252.00
  6. Step 6: Final answer
    x = 210.23

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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.