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Finding the Fourth Proportional to 430.18, 644.65 and 210.63

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Solution

The fourth proportional to 430.18, 644.65 and 210.63 is: 315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.18 : 644.65 = 210.63 : x
  2. Step 2: Convert to fraction form
    430.18/644.65 = 210.63/x
  3. Step 3: Cross multiply
    430.18x = 644.65 × 210.63
  4. Step 4: Simplify right side
    430.18x = 135,784.52
  5. Step 5: Solve for x
    x = 135,784.52/430.18
  6. Step 6: Final answer
    x = 315.65

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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.