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Finding the Fourth Proportional to 388.84, 585.38 and 302.68

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Solution

The fourth proportional to 388.84, 585.38 and 302.68 is: 455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.84 : 585.38 = 302.68 : x
  2. Step 2: Convert to fraction form
    388.84/585.38 = 302.68/x
  3. Step 3: Cross multiply
    388.84x = 585.38 × 302.68
  4. Step 4: Simplify right side
    388.84x = 177,182.82
  5. Step 5: Solve for x
    x = 177,182.82/388.84
  6. Step 6: Final answer
    x = 455.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.