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Finding the Fourth Proportional to 317.33, 473.88 and 313.89

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Solution

The fourth proportional to 317.33, 473.88 and 313.89 is: 468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.33 : 473.88 = 313.89 : x
  2. Step 2: Convert to fraction form
    317.33/473.88 = 313.89/x
  3. Step 3: Cross multiply
    317.33x = 473.88 × 313.89
  4. Step 4: Simplify right side
    317.33x = 148,748.72
  5. Step 5: Solve for x
    x = 148,748.72/317.33
  6. Step 6: Final answer
    x = 468.75

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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.