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Finding the Fourth Proportional to 230.51, 317.90 and 152.75

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Solution

The fourth proportional to 230.51, 317.90 and 152.75 is: 210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.51 : 317.90 = 152.75 : x
  2. Step 2: Convert to fraction form
    230.51/317.90 = 152.75/x
  3. Step 3: Cross multiply
    230.51x = 317.90 × 152.75
  4. Step 4: Simplify right side
    230.51x = 48,558.46
  5. Step 5: Solve for x
    x = 48,558.46/230.51
  6. Step 6: Final answer
    x = 210.66

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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.