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Finding the Fourth Proportional to 270.07, 372.65 and 152.03

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Solution

The fourth proportional to 270.07, 372.65 and 152.03 is: 209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.07 : 372.65 = 152.03 : x
  2. Step 2: Convert to fraction form
    270.07/372.65 = 152.03/x
  3. Step 3: Cross multiply
    270.07x = 372.65 × 152.03
  4. Step 4: Simplify right side
    270.07x = 56,652.50
  5. Step 5: Solve for x
    x = 56,652.50/270.07
  6. Step 6: Final answer
    x = 209.77

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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.