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Finding the Fourth Proportional to 345.35, 474.32 and 320.00

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Solution

The fourth proportional to 345.35, 474.32 and 320.00 is: 439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.35 : 474.32 = 320.00 : x
  2. Step 2: Convert to fraction form
    345.35/474.32 = 320.00/x
  3. Step 3: Cross multiply
    345.35x = 474.32 × 320.00
  4. Step 4: Simplify right side
    345.35x = 151,780.83
  5. Step 5: Solve for x
    x = 151,780.83/345.35
  6. Step 6: Final answer
    x = 439.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.