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Finding the Fourth Proportional to 213.40, 318.77 and 152.02

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Solution

The fourth proportional to 213.40, 318.77 and 152.02 is: 227.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.40 : 318.77 = 152.02 : x
  2. Step 2: Convert to fraction form
    213.40/318.77 = 152.02/x
  3. Step 3: Cross multiply
    213.40x = 318.77 × 152.02
  4. Step 4: Simplify right side
    213.40x = 48,459.42
  5. Step 5: Solve for x
    x = 48,459.42/213.40
  6. Step 6: Final answer
    x = 227.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.