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Finding the Fourth Proportional to 389.64, 583.90 and 316.20

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Solution

The fourth proportional to 389.64, 583.90 and 316.20 is: 473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.64 : 583.90 = 316.20 : x
  2. Step 2: Convert to fraction form
    389.64/583.90 = 316.20/x
  3. Step 3: Cross multiply
    389.64x = 583.90 × 316.20
  4. Step 4: Simplify right side
    389.64x = 184,629.18
  5. Step 5: Solve for x
    x = 184,629.18/389.64
  6. Step 6: Final answer
    x = 473.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.