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Finding the Fourth Proportional to 430.84, 646.35 and 142.30

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Solution

The fourth proportional to 430.84, 646.35 and 142.30 is: 213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.84 : 646.35 = 142.30 : x
  2. Step 2: Convert to fraction form
    430.84/646.35 = 142.30/x
  3. Step 3: Cross multiply
    430.84x = 646.35 × 142.30
  4. Step 4: Simplify right side
    430.84x = 91,971.66
  5. Step 5: Solve for x
    x = 91,971.66/430.84
  6. Step 6: Final answer
    x = 213.47

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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.