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Finding the Fourth Proportional to 304.47, 420.20 and 294.90

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Solution

The fourth proportional to 304.47, 420.20 and 294.90 is: 407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.47 : 420.20 = 294.90 : x
  2. Step 2: Convert to fraction form
    304.47/420.20 = 294.90/x
  3. Step 3: Cross multiply
    304.47x = 420.20 × 294.90
  4. Step 4: Simplify right side
    304.47x = 123,919.06
  5. Step 5: Solve for x
    x = 123,919.06/304.47
  6. Step 6: Final answer
    x = 407.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.