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Finding the Fourth Proportional to 340.02, 507.06 and 302.68

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Solution

The fourth proportional to 340.02, 507.06 and 302.68 is: 451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.02 : 507.06 = 302.68 : x
  2. Step 2: Convert to fraction form
    340.02/507.06 = 302.68/x
  3. Step 3: Cross multiply
    340.02x = 507.06 × 302.68
  4. Step 4: Simplify right side
    340.02x = 153,476.92
  5. Step 5: Solve for x
    x = 153,476.92/340.02
  6. Step 6: Final answer
    x = 451.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.