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Finding the Fourth Proportional to 226.08, 312 and 152.40

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Solution

The fourth proportional to 226.08, 312 and 152.40 is: 210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.08 : 312 = 152.40 : x
  2. Step 2: Convert to fraction form
    226.08/312 = 152.40/x
  3. Step 3: Cross multiply
    226.08x = 312 × 152.40
  4. Step 4: Simplify right side
    226.08x = 47,548.80
  5. Step 5: Solve for x
    x = 47,548.80/226.08
  6. Step 6: Final answer
    x = 210.32

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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.