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Finding the Fourth Proportional to 1,312.06, 1,968.08 and 338.16

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Solution

The fourth proportional to 1,312.06, 1,968.08 and 338.16 is: 507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.06 : 1,968.08 = 338.16 : x
  2. Step 2: Convert to fraction form
    1,312.06/1,968.08 = 338.16/x
  3. Step 3: Cross multiply
    1,312.06x = 1,968.08 × 338.16
  4. Step 4: Simplify right side
    1,312.06x = 665,525.93
  5. Step 5: Solve for x
    x = 665,525.93/1,312.06
  6. Step 6: Final answer
    x = 507.24

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1.5x scale

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.