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Finding the Fourth Proportional to 368.32, 507.98 and 313.24

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Solution

The fourth proportional to 368.32, 507.98 and 313.24 is: 432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.32 : 507.98 = 313.24 : x
  2. Step 2: Convert to fraction form
    368.32/507.98 = 313.24/x
  3. Step 3: Cross multiply
    368.32x = 507.98 × 313.24
  4. Step 4: Simplify right side
    368.32x = 159,119.66
  5. Step 5: Solve for x
    x = 159,119.66/368.32
  6. Step 6: Final answer
    x = 432.01

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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.