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Finding the Fourth Proportional to 390.93, 583.20 and 360.17

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Solution

The fourth proportional to 390.93, 583.20 and 360.17 is: 537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.93 : 583.20 = 360.17 : x
  2. Step 2: Convert to fraction form
    390.93/583.20 = 360.17/x
  3. Step 3: Cross multiply
    390.93x = 583.20 × 360.17
  4. Step 4: Simplify right side
    390.93x = 210,052.06
  5. Step 5: Solve for x
    x = 210,052.06/390.93
  6. Step 6: Final answer
    x = 537.32

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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.