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Finding the Fourth Proportional to 345.52, 478.08 and 296.32

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Solution

The fourth proportional to 345.52, 478.08 and 296.32 is: 410.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.52 : 478.08 = 296.32 : x
  2. Step 2: Convert to fraction form
    345.52/478.08 = 296.32/x
  3. Step 3: Cross multiply
    345.52x = 478.08 × 296.32
  4. Step 4: Simplify right side
    345.52x = 141,664.67
  5. Step 5: Solve for x
    x = 141,664.67/345.52
  6. Step 6: Final answer
    x = 410.00

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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.