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Finding the Fourth Proportional to 642.96, 964.40 and 210.06

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Solution

The fourth proportional to 642.96, 964.40 and 210.06 is: 315.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.96 : 964.40 = 210.06 : x
  2. Step 2: Convert to fraction form
    642.96/964.40 = 210.06/x
  3. Step 3: Cross multiply
    642.96x = 964.40 × 210.06
  4. Step 4: Simplify right side
    642.96x = 202,580.81
  5. Step 5: Solve for x
    x = 202,580.81/642.96
  6. Step 6: Final answer
    x = 315.08

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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.