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Finding the Fourth Proportional to 368.32, 508.36 and 210.98

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Solution

The fourth proportional to 368.32, 508.36 and 210.98 is: 291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.32 : 508.36 = 210.98 : x
  2. Step 2: Convert to fraction form
    368.32/508.36 = 210.98/x
  3. Step 3: Cross multiply
    368.32x = 508.36 × 210.98
  4. Step 4: Simplify right side
    368.32x = 107,254.39
  5. Step 5: Solve for x
    x = 107,254.39/368.32
  6. Step 6: Final answer
    x = 291.20

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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.