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Finding the Fourth Proportional to 354.16, 528.48 and 317.84

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Solution

The fourth proportional to 354.16, 528.48 and 317.84 is: 474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.16 : 528.48 = 317.84 : x
  2. Step 2: Convert to fraction form
    354.16/528.48 = 317.84/x
  3. Step 3: Cross multiply
    354.16x = 528.48 × 317.84
  4. Step 4: Simplify right side
    354.16x = 167,972.08
  5. Step 5: Solve for x
    x = 167,972.08/354.16
  6. Step 6: Final answer
    x = 474.28

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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.