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Finding the Fourth Proportional to 384.19, 574.99 and 320.13

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Solution

The fourth proportional to 384.19, 574.99 and 320.13 is: 479.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.19 : 574.99 = 320.13 : x
  2. Step 2: Convert to fraction form
    384.19/574.99 = 320.13/x
  3. Step 3: Cross multiply
    384.19x = 574.99 × 320.13
  4. Step 4: Simplify right side
    384.19x = 184,070.75
  5. Step 5: Solve for x
    x = 184,070.75/384.19
  6. Step 6: Final answer
    x = 479.12

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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.