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Finding the Fourth Proportional to 610.14, 841.90 and 348.10

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Solution

The fourth proportional to 610.14, 841.90 and 348.10 is: 480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.14 : 841.90 = 348.10 : x
  2. Step 2: Convert to fraction form
    610.14/841.90 = 348.10/x
  3. Step 3: Cross multiply
    610.14x = 841.90 × 348.10
  4. Step 4: Simplify right side
    610.14x = 293,065.39
  5. Step 5: Solve for x
    x = 293,065.39/610.14
  6. Step 6: Final answer
    x = 480.32

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.