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Finding the Fourth Proportional to 478.94, 661.08 and 304.52

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Solution

The fourth proportional to 478.94, 661.08 and 304.52 is: 420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.94 : 661.08 = 304.52 : x
  2. Step 2: Convert to fraction form
    478.94/661.08 = 304.52/x
  3. Step 3: Cross multiply
    478.94x = 661.08 × 304.52
  4. Step 4: Simplify right side
    478.94x = 201,312.08
  5. Step 5: Solve for x
    x = 201,312.08/478.94
  6. Step 6: Final answer
    x = 420.33

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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.