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Finding the Fourth Proportional to 401.50, 552.90 and 384.64

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Solution

The fourth proportional to 401.50, 552.90 and 384.64 is: 529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.50 : 552.90 = 384.64 : x
  2. Step 2: Convert to fraction form
    401.50/552.90 = 384.64/x
  3. Step 3: Cross multiply
    401.50x = 552.90 × 384.64
  4. Step 4: Simplify right side
    401.50x = 212,667.46
  5. Step 5: Solve for x
    x = 212,667.46/401.50
  6. Step 6: Final answer
    x = 529.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.