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Finding the Fourth Proportional to 284.19, 392.57 and 210.89

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Solution

The fourth proportional to 284.19, 392.57 and 210.89 is: 291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.19 : 392.57 = 210.89 : x
  2. Step 2: Convert to fraction form
    284.19/392.57 = 210.89/x
  3. Step 3: Cross multiply
    284.19x = 392.57 × 210.89
  4. Step 4: Simplify right side
    284.19x = 82,786.07
  5. Step 5: Solve for x
    x = 82,786.07/284.19
  6. Step 6: Final answer
    x = 291.31

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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.