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Finding the Fourth Proportional to 320.55, 477.77 and 302.32

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Solution

The fourth proportional to 320.55, 477.77 and 302.32 is: 450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.55 : 477.77 = 302.32 : x
  2. Step 2: Convert to fraction form
    320.55/477.77 = 302.32/x
  3. Step 3: Cross multiply
    320.55x = 477.77 × 302.32
  4. Step 4: Simplify right side
    320.55x = 144,439.43
  5. Step 5: Solve for x
    x = 144,439.43/320.55
  6. Step 6: Final answer
    x = 450.60

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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.