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Finding the Fourth Proportional to 354.06, 528.60 and 319.50

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Solution

The fourth proportional to 354.06, 528.60 and 319.50 is: 477.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.06 : 528.60 = 319.50 : x
  2. Step 2: Convert to fraction form
    354.06/528.60 = 319.50/x
  3. Step 3: Cross multiply
    354.06x = 528.60 × 319.50
  4. Step 4: Simplify right side
    354.06x = 168,887.70
  5. Step 5: Solve for x
    x = 168,887.70/354.06
  6. Step 6: Final answer
    x = 477.00

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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.