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Finding the Fourth Proportional to 620.96, 931.52 and 256.08

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Solution

The fourth proportional to 620.96, 931.52 and 256.08 is: 384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.96 : 931.52 = 256.08 : x
  2. Step 2: Convert to fraction form
    620.96/931.52 = 256.08/x
  3. Step 3: Cross multiply
    620.96x = 931.52 × 256.08
  4. Step 4: Simplify right side
    620.96x = 238,543.64
  5. Step 5: Solve for x
    x = 238,543.64/620.96
  6. Step 6: Final answer
    x = 384.15

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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.