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Finding the Fourth Proportional to 306.04, 455.40 and 297.40

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Solution

The fourth proportional to 306.04, 455.40 and 297.40 is: 442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.04 : 455.40 = 297.40 : x
  2. Step 2: Convert to fraction form
    306.04/455.40 = 297.40/x
  3. Step 3: Cross multiply
    306.04x = 455.40 × 297.40
  4. Step 4: Simplify right side
    306.04x = 135,435.96
  5. Step 5: Solve for x
    x = 135,435.96/306.04
  6. Step 6: Final answer
    x = 442.54

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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.