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Finding the Fourth Proportional to 384.07, 530.02 and 209.42

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Solution

The fourth proportional to 384.07, 530.02 and 209.42 is: 288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.07 : 530.02 = 209.42 : x
  2. Step 2: Convert to fraction form
    384.07/530.02 = 209.42/x
  3. Step 3: Cross multiply
    384.07x = 530.02 × 209.42
  4. Step 4: Simplify right side
    384.07x = 110,993.61
  5. Step 5: Solve for x
    x = 110,993.61/384.07
  6. Step 6: Final answer
    x = 288.99

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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.