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Finding the Fourth Proportional to 389.84, 585.03 and 260.01

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Solution

The fourth proportional to 389.84, 585.03 and 260.01 is: 390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.84 : 585.03 = 260.01 : x
  2. Step 2: Convert to fraction form
    389.84/585.03 = 260.01/x
  3. Step 3: Cross multiply
    389.84x = 585.03 × 260.01
  4. Step 4: Simplify right side
    389.84x = 152,110.73
  5. Step 5: Solve for x
    x = 152,110.73/389.84
  6. Step 6: Final answer
    x = 390.19

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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.