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Finding the Fourth Proportional to 384.42, 530.50 and 209.77

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Solution

The fourth proportional to 384.42, 530.50 and 209.77 is: 289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.42 : 530.50 = 209.77 : x
  2. Step 2: Convert to fraction form
    384.42/530.50 = 209.77/x
  3. Step 3: Cross multiply
    384.42x = 530.50 × 209.77
  4. Step 4: Simplify right side
    384.42x = 111,281.92
  5. Step 5: Solve for x
    x = 111,281.92/384.42
  6. Step 6: Final answer
    x = 289.48

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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.