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Finding the Fourth Proportional to 442.56, 661.30 and 304.51

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Solution

The fourth proportional to 442.56, 661.30 and 304.51 is: 455.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.56 : 661.30 = 304.51 : x
  2. Step 2: Convert to fraction form
    442.56/661.30 = 304.51/x
  3. Step 3: Cross multiply
    442.56x = 661.30 × 304.51
  4. Step 4: Simplify right side
    442.56x = 201,372.57
  5. Step 5: Solve for x
    x = 201,372.57/442.56
  6. Step 6: Final answer
    x = 455.01

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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.