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Finding the Fourth Proportional to 320.04, 477.57 and 317.64

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Solution

The fourth proportional to 320.04, 477.57 and 317.64 is: 473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.04 : 477.57 = 317.64 : x
  2. Step 2: Convert to fraction form
    320.04/477.57 = 317.64/x
  3. Step 3: Cross multiply
    320.04x = 477.57 × 317.64
  4. Step 4: Simplify right side
    320.04x = 151,695.33
  5. Step 5: Solve for x
    x = 151,695.33/320.04
  6. Step 6: Final answer
    x = 473.99

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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.