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Finding the Fourth Proportional to 213.07, 318.60 and 152.01

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Solution

The fourth proportional to 213.07, 318.60 and 152.01 is: 227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.07 : 318.60 = 152.01 : x
  2. Step 2: Convert to fraction form
    213.07/318.60 = 152.01/x
  3. Step 3: Cross multiply
    213.07x = 318.60 × 152.01
  4. Step 4: Simplify right side
    213.07x = 48,430.39
  5. Step 5: Solve for x
    x = 48,430.39/213.07
  6. Step 6: Final answer
    x = 227.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.