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Finding the Fourth Proportional to 430.84, 646.10 and 214.30

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Solution

The fourth proportional to 430.84, 646.10 and 214.30 is: 321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.84 : 646.10 = 214.30 : x
  2. Step 2: Convert to fraction form
    430.84/646.10 = 214.30/x
  3. Step 3: Cross multiply
    430.84x = 646.10 × 214.30
  4. Step 4: Simplify right side
    430.84x = 138,459.23
  5. Step 5: Solve for x
    x = 138,459.23/430.84
  6. Step 6: Final answer
    x = 321.37

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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.