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Finding the Fourth Proportional to 390.41, 586.98 and 360.30

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Solution

The fourth proportional to 390.41, 586.98 and 360.30 is: 541.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.41 : 586.98 = 360.30 : x
  2. Step 2: Convert to fraction form
    390.41/586.98 = 360.30/x
  3. Step 3: Cross multiply
    390.41x = 586.98 × 360.30
  4. Step 4: Simplify right side
    390.41x = 211,488.89
  5. Step 5: Solve for x
    x = 211,488.89/390.41
  6. Step 6: Final answer
    x = 541.72

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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.