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Finding the Fourth Proportional to 384.65, 530.82 and 210

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Solution

The fourth proportional to 384.65, 530.82 and 210 is: 289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.65 : 530.82 = 210 : x
  2. Step 2: Convert to fraction form
    384.65/530.82 = 210/x
  3. Step 3: Cross multiply
    384.65x = 530.82 × 210
  4. Step 4: Simplify right side
    384.65x = 111,472.20
  5. Step 5: Solve for x
    x = 111,472.20/384.65
  6. Step 6: Final answer
    x = 289.80

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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.