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Finding the Fourth Proportional to 320.19, 477.27 and 285.30

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Solution

The fourth proportional to 320.19, 477.27 and 285.30 is: 425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.19 : 477.27 = 285.30 : x
  2. Step 2: Convert to fraction form
    320.19/477.27 = 285.30/x
  3. Step 3: Cross multiply
    320.19x = 477.27 × 285.30
  4. Step 4: Simplify right side
    320.19x = 136,165.13
  5. Step 5: Solve for x
    x = 136,165.13/320.19
  6. Step 6: Final answer
    x = 425.26

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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.